All Stories

  1. Editorial for Focus Issue: From chemical oscillations to applications of nonlinear dynamics: Dedicated to Richard J. Field on the occasion of his 80th birthday

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, October 2022, American Institute of Physics

    Professor Jason Gallas

  2. New type om complex dynamics observed in both model and experiment

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, June 2022, American Institute of Physics

    Professor Jason Gallas, Lars Folke Olsen

  3. Ubiquity of ring structures in the control space of complex oscillators

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, October 2021, American Institute of Physics

    Professor Jason Gallas

  4. Quint points lattice in a driven Belousov–Zhabotinsky reaction model

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, May 2021, American Institute of Physics

    Professor Jason Gallas

  5. Predicting regime changes and durations in Lorenz’s atmospheric convection model

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, October 2020, American Institute of Physics

    Professor Jason Gallas

  6. Self-organization of pulsing and bursting in a CO2 laser with opto-electronic feedback

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, September 2015, American Institute of Physics

    Professor Jason Gallas

  7. Nested arithmetic progressions of oscillatory phases in Olsen's enzyme reaction model

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, June 2015, American Institute of Physics

    Professor Jason Gallas

  8. Stability diagrams for continuous wide-range control of two mutually delay-coupled semiconductor lasers

    Article • New Journal of Physics, May 2015, Institute of Physics Publishing

    Professor Jason Gallas

  9. Periodicity hubs and spirals in an electrochemical oscillator

    Article • Journal of Solid State Electrochemistry, March 2015, Springer Science + Business Media

    Professor Jason Gallas

  10. Complex dynamics of a dc glow discharge tube: Experimental modeling and stability diagrams

    Article • Scientific Reports, February 2015, Springer Science + Business Media

    Professor Jason Gallas, Dr Eugenio Pugliese

  11. Effect of anisotropies on the magnetization dynamics

    Article • Networks & Heterogeneous Media, February 2015, American Institute of Mathematical Sciences (AIMS)

    Professor Jason Gallas

  12. Are physicists afraid of mathematics?

    Article • New Journal of Physics, January 2015, Institute of Physics Publishing

    Professor Jason Gallas

  13. Nonchaos-Mediated Mixed-Mode Oscillations in an Enzyme Reaction System

    Article • The Journal of Physical Chemistry Letters, December 2014, American Chemical Society (ACS)

    Professor Jason Gallas

  14. Distribution of chaos and periodic spikes in a three-cell population model of cancer

    Article • The European Physical Journal Special Topics, October 2014, Springer Science + Business Media

    Professor Jason Gallas

  15. What is the effective impact of the explosive orbital growth in discrete-time one-dimensional polynomial dynamical systems?

    Article • Physica A Statistical Mechanics and its Applications, September 2014, Elsevier

    Professor Jason Gallas

  16. Cyclic organization of stable periodic and chaotic pulsations in Hartley’s oscillator

    Article • Chaos Solitons & Fractals, February 2014, Elsevier

    Professor Jason Gallas

  17. Discontinuous Spirals of Stable Periodic Oscillations

    Article • Scientific Reports, November 2013, Springer Science + Business Media

    Professor Jason Gallas

  18. Characterization of the stability of semiconductor lasers with delayed feedback according to the Lang-Kobayashi model

    Article • The European Physical Journal D, July 2013, Springer Science + Business Media

    Professor Jason Gallas

  19. Periodicity hubs and wide spirals in a two-component autonomous electronic circuit

    Article • Chaos Solitons & Fractals, July 2013, Elsevier

    Professor Jason Gallas

  20. Antiperiodic oscillations

    Article • Scientific Reports, June 2013, Springer Science + Business Media

    Professor Jason Gallas

  21. Characteristics of large three-dimensional heaps of particles produced by ballistic deposition from extended sources

    Article • The Philosophical Magazine A Journal of Theoretical Experimental and Applied Physics, May 2013, Taylor & Francis

    Professor Jason Gallas

  22. Zig-zag networks of self-excited periodic oscillations in a tunnel diode and a fiber-ring laser

    Article • Physical Review E, April 2013, American Physical Society (APS)

    Professor Jason Gallas

  23. Infinite Networks of Hubs, Spirals, and Zig-Zag Patterns in Self-sustained Oscillations of a Tunnel Diode and of an Erbium-doped Fiber-ring Laser

    Article • January 2013, Springer Science + Business Media

    Professor Jason Gallas

  24. Infinite Networks of Hubs, Spirals, and Zig-Zag Patterns in Self-sustained Oscillations of a Tunnel Diode and of an Erbium-doped Fiber-ring Laser

    Article • January 2013, Springer Science + Business Media

    Professor Jason Gallas

  25. Circular ratchets as transducers of vertical vibrations into rotations

    Article • Physical Review E, December 2012, American Physical Society (APS)

    Professor Jason Gallas

  26. Stern-Brocot trees in spiking and bursting of sigmoidal maps

    Article • EPL (Europhysics Letters), November 2012, Institute of Physics Publishing

    Professor Jason Gallas

  27. Magnetization Dynamics Under a Quasiperiodic Magnetic Field

    Article • IEEE Transactions on Magnetics, November 2012, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Jason Gallas

  28. Frequency and peak discontinuities in self-pulsations of a CO2 laser with feedback

    Article • Optics Communications, October 2012, Elsevier

    Professor Jason Gallas

  29. Nonuniformities in the Angle of Repose and Packing Fraction of Large Heaps of Particles

    Article • Physical Review Letters, September 2012, American Physical Society (APS)

    Professor Jason Gallas

  30. Intricate routes to chaos in the Mackey–Glass delayed feedback system

    Article • Physics Letters A, June 2012, Elsevier

    Professor Jason Gallas

  31. Recurrent inflation and collapse in horizontally shaken granular materials

    Article • Physical Review E, March 2012, American Physical Society (APS)

    Professor Jason Gallas

  32. Global structure of periodicity hubs in Lyapunov phase diagrams of dissipative flows

    Article • Physical Review E, July 2011, American Physical Society (APS)

    Professor Jason Gallas

  33. Stern–Brocot trees in cascades of mixed-mode oscillations and canards in the extended Bonhoeffer–van der Pol and the FitzHugh–Nagumo models of excitable systems

    Article • Physics Letters A, February 2011, Elsevier

    Professor Jason Gallas

  34. Self-organized distribution of periodicity and chaos in an electrochemical oscillator

    Article • Physical Chemistry Chemical Physics, January 2011, Royal Society of Chemistry

    Hamilton Varela, Professor Jason Gallas

  35. Stern–Brocot trees in the periodicity of mixed-mode oscillations

    Article • Physical Chemistry Chemical Physics, January 2011, Royal Society of Chemistry

    Professor Jason Gallas

  36. How similar is the performance of the cubic and the piecewise-linear circuits of Chua?

    Article • Physics Letters A, December 2010, Elsevier

    Professor Jason Gallas

  37. How community size affects survival chances in cyclic competition games that microorganisms play

    Article • Physical Review E, November 2010, American Physical Society (APS)

    Professor Jason Gallas

  38. Non-Shilnikov cascades of spikes and hubs in a semiconductor laser with optoelectronic feedback

    Article • Physical Review E, September 2010, American Physical Society (APS)

    Professor Jason Gallas

  39. Complete sets of initial vectors for pattern growth with elementary cellular automata

    Article • Computer Physics Communications, April 2010, Elsevier

    Professor Jason Gallas

  40. THE STRUCTURE OF INFINITE PERIODIC AND CHAOTIC HUB CASCADES IN PHASE DIAGRAMS OF SIMPLE AUTONOMOUS FLOWS

    Article • International Journal of Bifurcation and Chaos, February 2010, World Scientific Pub Co Pte Lt

    Professor Jason Gallas

  41. Observation of Cascades of Spikes and Periodicity Hubs in a Semiconductor Laser with Optoelectronic Feedback

    Article • January 2010, Optical Society of America (OSA)

    Professor Jason Gallas

  42. Exact quantification of the complexity of spacewise pattern growth in cellular automata

    Article • Journal of Physics A Mathematical and Theoretical, September 2009, Institute of Physics Publishing

    Professor Jason Gallas

  43. Relative abundance and structure of chaotic behavior: The nonpolynomial Belousov–Zhabotinsky reaction kinetics

    Article • The Journal of Chemical Physics, July 2009, American Institute of Physics

    Professor Jason Gallas

  44. Multistability, phase diagrams, and intransitivity in the Lorenz-84 low-order atmospheric circulation model

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, September 2008, American Institute of Physics

    Professor Jason Gallas

  45. Periodicity Hub and Nested Spirals in the Phase Diagram of a Simple Resistive Circuit

    Article • Physical Review Letters, August 2008, American Physical Society (APS)

    Professor Jason Gallas

  46. MULTISTABILITY, PHASE DIAGRAMS AND STATISTICAL PROPERTIES OF THE KICKED ROTOR: A MAP WITH MANY COEXISTING ATTRACTORS

    Article • International Journal of Bifurcation and Chaos, June 2008, World Scientific Pub Co Pte Lt

    Professor Jason Gallas

  47. Chaotic phase similarities and recurrences in a damped-driven Duffing oscillator

    Article • Physical Review E, February 2008, American Physical Society (APS)

    Professor Jason Gallas

  48. MINIMIZING STOCHASTICITY IN THE NAO INDEX

    Article • International Journal of Bifurcation and Chaos, October 2007, World Scientific Pub Co Pte Lt

    Professor Jason Gallas

  49. Generation of quasiperiodic oscillations in pairs of coupled maps

    Article • Chaos Solitons & Fractals, August 2007, Elsevier

    Professor Jason Gallas

  50. Spatial updating, spatial transients, and regularities of a complex automaton with nonperiodic architecture

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, June 2007, American Institute of Physics

    Professor Jason Gallas

  51. Synchronization and predictability under rule 52, a cellular automaton reputedly of class 4

    Article • Physics Letters A, June 2007, Elsevier

    Professor Jason Gallas

  52. Accumulation horizons and period adding in optically injected semiconductor lasers

    Article • Physical Review E, May 2007, American Physical Society (APS)

    Professor Jason Gallas

  53. Counting orbits in conjugacy classes of the Hénon Hamiltonian repeller

    Article • Physics Letters A, January 2007, Elsevier

    Professor Jason Gallas

  54. Impact of bistability in the synchronization of chaotic maps with delayed coupling and complex topologies

    Article • Physica A Statistical Mechanics and its Applications, November 2006, Elsevier

    Professor Jason Gallas

  55. Conjugacy classes and chiral doublets in the Hénon Hamiltonian repeller

    Article • Physics Letters A, July 2006, Elsevier

    Professor Jason Gallas

  56. Mandelbrot-like sets in dynamical systems with no critical points

    Article • Comptes Rendus Mathématique, May 2006, Elsevier

    Professor Jason Gallas

  57. Reductions and simplifications of orbital sums in a Hamiltonian repeller

    Article • Physics Letters A, March 2006, Elsevier

    Professor Jason Gallas

  58. Reducing stochasticity in the North Atlantic Oscillation index with coupled Langevin equations

    Article • Physical Review E, November 2005, American Physical Society (APS)

    Professor Jason Gallas

  59. Spontaneous emergence of spatio-temporal order in class 4 automata

    Article • Physica A Statistical Mechanics and its Applications, October 2005, Elsevier

    Professor Jason Gallas

  60. Self-Similarities in the Frequency-Amplitude Space of a Loss-Modulated CO 2 Laser

    Article • Physical Review Letters, September 2005, American Physical Society (APS)

    Professor Jason Gallas

  61. Basin size evolution between dissipative and conservative limits

    Article • Physical Review E, January 2005, American Physical Society (APS)

    Professor Jason Gallas

  62. Inducing Periodicity in Lattices of Chaotic Maps with Advection

    Article • Physica Scripta, January 2005, Institute of Physics Publishing

    Professor Jason Gallas

  63. Existence and characterization of stable ghost orbits in the Hénon map

    Article • Physica A Statistical Mechanics and its Applications, December 2004, Elsevier

    Professor Jason Gallas

  64. Coherence in scale-free networks of chaotic maps

    Article • Physical Review E, November 2004, American Physical Society (APS)

    Professor Jason Gallas

  65. Naimark–Sacker bifurcations in linearly coupled quadratic maps

    Article • Physica A Statistical Mechanics and its Applications, October 2004, Elsevier

    Professor Jason Gallas

  66. The dynamics of complex-amplitude norm-preserving lattices of coupled oscillators

    Article • Physica A Statistical Mechanics and its Applications, July 2004, Elsevier

    Professor Jason Gallas

  67. Pattern formation in diffusive-advective coupled map lattices

    Article • Physical Review E, June 2004, American Physical Society (APS)

    Professor Jason Gallas

  68. COUPLED BISTABLE MAPS: A TOOL TO STUDY CONVECTION PARAMETERIZATION IN OCEAN MODELS

    Article • International Journal of Bifurcation and Chaos, March 2004, World Scientific Pub Co Pte Lt

    Professor Jason Gallas

  69. Inducing coherence in networks of bistable maps by varying the interaction range

    Article • Physical Review E, February 2004, American Physical Society (APS)

    Professor Jason Gallas

  70. Effects of local nonlinearity and basin size in the dynamics of lattices of bistable maps

    Article • Physica A Statistical Mechanics and its Applications, September 2003, Elsevier

    Professor Jason Gallas

  71. Using advection to control the velocity of patterns in rings of maps

    Article • Physica D Nonlinear Phenomena, August 2002, Elsevier

    Professor Jason Gallas

  72. Modeling velocity in gradient flows with coupled-map lattices with advection

    Article • July 2002, American Physical Society (APS)

    Professor Jason Gallas

  73. Arithmetical signatures of the dynamics of the Hénon map

    Article • March 2002, American Physical Society (APS)

    Professor Jason Gallas

  74. THE DISTRIBUTION OF PERIODIC AND APERIODIC PATTERN EVOLUTIONS IN RINGS OF DIFFUSIVELY COUPLED MAPS

    Article • International Journal of Bifurcation and Chaos, October 2001, World Scientific Pub Co Pte Lt

    Professor Jason Gallas

  75. Period four stability and multistability domains for the Hénon map

    Article • Physica A Statistical Mechanics and its Applications, June 2001, Elsevier

    Professor Jason Gallas

  76. Traveling waves induced by parameter fluctuations in rings of coupled maps

    Article • Physica A Statistical Mechanics and its Applications, June 2001, Elsevier

    Professor Jason Gallas

  77. Fractal and riddled basins: arithmetic signatures in the parameter space of two coupled quadratic maps

    Article • Physica A Statistical Mechanics and its Applications, June 2001, Elsevier

    Professor Jason Gallas

  78. WAVE PATTERNS IN COUPLED MAP LATTICES

    Article • March 2001, World Scientific Pub Co Pte Lt

    Professor Jason Gallas

  79. Infinite hierarchies of nonlinearly dependent periodic orbits

    Article • December 2000, American Physical Society (APS)

    Professor Jason Gallas

  80. Integrals of motion and quantum operators for hydrogenic atoms in external fields

    Article • Physical Review A, September 2000, American Physical Society (APS)

    Professor Jason Gallas

  81. On the origin of periodicity in dynamical systems

    Article • Physica A Statistical Mechanics and its Applications, August 2000, Elsevier

    Professor Jason Gallas

  82. Recovering parameters from self-similar structures in phase space of dissipative systems with constant Jacobian

    Article • Physica A Statistical Mechanics and its Applications, August 2000, Elsevier

    Professor Jason Gallas

  83. Growth of companies and water-level fluctuations of the river Danube

    Article • Physica A Statistical Mechanics and its Applications, September 1999, Elsevier

    Professor Jason Gallas

  84. Bifurcation rigidity

    Article • Physica D Nonlinear Phenomena, May 1999, Elsevier

    Professor Jason Gallas

  85. Globally coupled multiattractor maps: Mean field dynamics controlled by the number of elements

    Article • January 1999, American Physical Society (APS)

    Professor Jason Gallas

  86. Exploring collective behaviors with a multi-attractor quartic map

    Article • Physica A Statistical Mechanics and its Applications, August 1998, Elsevier

    Professor Jason Gallas

  87. Chaotic particle dynamics in viscous flows: The three-particle Stokeslet problem

    Article • September 1997, American Physical Society (APS)

    Professor Jason Gallas

  88. Accumulation points in nonlinear parameter lattices

    Article • Physica A Statistical Mechanics and its Applications, April 1997, Elsevier

    Professor Jason Gallas

  89. Periodicity versus chaos in the dynamics of cobweb models

    Article • Journal of Economic Behavior & Organization, May 1996, Elsevier

    Professor Jason Gallas

  90. Molecular dynamics simulation of size segregation in three dimensions

    Article • Journal of Statistical Physics, January 1996, Springer Science + Business Media

    Professor Jason Gallas

  91. Lyapunov exponents for a Duffing oscillator

    Article • Physica D Nonlinear Phenomena, December 1995, Elsevier

    Professor Jason Gallas

  92. Units: Remarkable points in dynamical systems

    Article • Physica A Statistical Mechanics and its Applications, December 1995, Elsevier

    Professor Jason Gallas

  93. Synchronization effects in the dynamical behavior of elevators

    Article • October 1994, American Physical Society (APS)

    Professor Jason Gallas

  94. A method for studying stability domains in physical models

    Article • Physica A Statistical Mechanics and its Applications, October 1994, Elsevier

    Professor Jason Gallas

  95. Dissecting shrimps: results for some one-dimensional physical models

    Article • Physica A Statistical Mechanics and its Applications, January 1994, Elsevier

    Professor Jason Gallas

  96. Degenerate routes to chaos

    Article • December 1993, American Physical Society (APS)

    Professor Jason Gallas

  97. Vertices in parameter space: Double crises which destroy chaotic attractors

    Article • Physical Review Letters, August 1993, American Physical Society (APS)

    Professor Jason Gallas

  98. A PICTURE BOOK OF TWO FAMILIES OF CUBIC MAPS

    Article • International Journal of Modern Physics C, June 1993, World Scientific Pub Co Pte Lt

    Professor Jason Gallas

  99. Structure of the parameter space of the Hénon map

    Article • Physical Review Letters, May 1993, American Physical Society (APS)

    Professor Jason Gallas

  100. Simulating memory effects with discrete dynamical systems

    Article • Physica A Statistical Mechanics and its Applications, May 1993, Elsevier

    Professor Jason Gallas

  101. GRANULAR MEDIA ON A VIBRATING PLATE: A MOLECULAR DYNAMICS SIMULATION

    Article • International Journal of Modern Physics B, April 1993, World Scientific Pub Co Pte Lt

    Professor Jason Gallas

  102. GRAIN NON-SPHERICITY EFFECTS ON THE ANGLE OF REPOSE OF GRANULAR MATERIAL

    Article • International Journal of Modern Physics B, April 1993, World Scientific Pub Co Pte Lt

    Professor Jason Gallas

  103. ON ANALYTIC AND PERIODIC SOLUTIONS FOR A CLASS OF NONLINEAR OSCILLATORS

    Article • International Journal of Bifurcation and Chaos, April 1993, World Scientific Pub Co Pte Lt

    Professor Jason Gallas

  104. THE ROLE OF CODIMENSION IN DYNAMICAL SYSTEMS

    Article • International Journal of Modern Physics C, December 1992, World Scientific Pub Co Pte Lt

    Professor Jason Gallas

  105. On the use of Chandrasekhar’s basis for helium and its isoelectronic series

    Article • The Journal of Chemical Physics, October 1992, American Institute of Physics

    Professor Jason Gallas

  106. FEIGENBAUM’S CONSTANT FOR MEROMORPHIC FUNCTIONS

    Article • International Journal of Modern Physics C, June 1992, World Scientific Pub Co Pte Lt

    Professor Jason Gallas

  107. Evidence of homoclinic chaos in the plasma of a glow discharge

    Article • Physical Review Letters, May 1992, American Physical Society (APS)

    Professor Jason Gallas

  108. PERIODIC AND QUASIPERIODIC TIME-DEPENDENT BEHAVIOR IN COLLECTIVE ORDERED PHASES

    Article • International Journal of Modern Physics C, April 1992, World Scientific Pub Co Pte Lt

    Professor Jason Gallas

  109. Constants of motion for the KdV and mKdV equations

    Article • Computer Physics Communications, September 1990, Elsevier

    Professor Jason Gallas

  110. INVESTIGATING AN AUTOMATON OF "CLASS 4"

    Article • International Journal of Modern Physics C, April 1990, World Scientific Pub Co Pte Lt

    Professor Jason Gallas

  111. Accurate Eigenenergies for the Magnetized Hydrogen Atom

    Article • January 1988, Springer Science + Business Media

    Professor Jason Gallas

  112. On accurate computation of RKR potentials

    Article • Physics Letters A, September 1987, Elsevier

    Professor Jason Gallas

  113. Observation of deterministic chaos in electrical discharges in gases

    Article • Physical Review Letters, August 1987, American Physical Society (APS)

    Professor Jason Gallas

  114. Metamorphosis and duality between quantum systems

    Article • Physical Review Letters, June 1987, American Physical Society (APS)

    Professor Jason Gallas

  115. Simple basis for hydrogenic atoms in magnetic fields

    Article • January 1984, American Physical Society (APS)

    Professor Jason Gallas

  116. Solution of the Schrödinger equation for bound states in closed form

    Article • July 1982, American Physical Society (APS)

    Professor Jason Gallas

  117. Some matrix elements for Morse oscillators

    Article • June 1980, American Physical Society (APS)

    Professor Jason Gallas

  118. Table errata: {\it Table of integrals, series and products}\ [English translation of the fourth Russian edition, Academic Press, New York, 1965;\ MR {\bf 33} \#5952]\ by I. S. Gradšteĭn and I. M. Ryžik

    Article • Mathematics of Computation, January 1980, American Mathematical Society (AMS)

    Professor Jason Gallas

  119. Coherence in Complex Networks of Oscillators

    Article • Springer Science + Business Media

    Professor Jason Gallas