Titlebook: Deterministic Nonlinear Systems; A Short Course Vadim S. Anishchenko,Tatyana E. Vadivasova,Galina Textbook 2014 Springer International Pub

Synchronism

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J. Vielkind,M. Schwab,F. AndersIn general form, self-sustained oscillatory systems with one degree of freedom are described by the equation . where . is a variable oscillating periodically, . and . are nonlinear functions characterizing the action of forces providing periodic self-sustained oscillations, and . is a vector of parameters ..

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Dynamical Systems with One Degree of Freedom,Consider a class of autonomous continuous-time dynamical systems whose state at any time can be unambiguously given by a variable . and its derivative .. The phase space of such a system is the phase plane (., .). Thus, the phase space dimension is . = 2 and the number of degrees of freedom is ..

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,The Anishchenko–Astakhov Oscillator of Chaotic Self-Sustained Oscillations,In general form, self-sustained oscillatory systems with one degree of freedom are described by the equation . where . is a variable oscillating periodically, . and . are nonlinear functions characterizing the action of forces providing periodic self-sustained oscillations, and . is a vector of parameters ..

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https://doi.org/10.1007/978-3-319-06871-8Anishchenko-Astakhov Oscillator; Deterministic Chaos Theory; Nonlinear Dynamics Textbook; Oscillations

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978-3-319-37852-7Springer International Publishing Switzerland 2014

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Cesar Petri,Ralph Scorza,Chris Dardick natural sciences. It amounts to finding a law that enables us to define the future state of the system at a time . > .. when given some information on the system at the initial time ... Depending on the complexity of the system, this law can be deterministic or probabilistic, and it can describe ei

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