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

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From Order to Chaos: Bifurcation Scenarios (Part II), a two-dimensional (2D) torus .. in phase space is destroyed and trajectories fall in a set with fractal dimension 2 + ., . ∈ [0, 1]. This set is created in the vicinity of .. and is thus called .. Such a route may be thought of as a special case of the quasiperiodic transition to chaos.
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Synchronization of Periodic Self-Sustained Oscillations,id much to spur the development of the theory of synchronization. Later the application to periodic self-sustained oscillations, which has become the classic application of this theory, was developed in detail, dealing also with the presence of noise.
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Textbook 2014 of synchronization in such systems. .This book is aimed at graduate students and non-specialist researchers with a background in physics, applied mathematics and engineering wishing to enter this exciting field of research..
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Soybean Molecular Genetic Diversitygence of nonrobust double-asymptotic trajectories, such as separatrix loops, homoclinic curves, and heteroclinic curves, which are formed when manifolds of saddle cycles and another saddle sets intersect non-transversally.
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,Characteristics of Poincaré Recurrences,idea that a system should return over time to a neighborhood of its initial state is used much more widely than in mathematical theory alone. Thus, in a certain sense, it has become one of the philosophical concepts of modern science.
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Synchronization of Chaotic Oscillations,ous spectrum resembling the spectrum of color noise. For this reason, it is impossible to introduce a strict period for chaotic oscillations and to unambiguously define their phase. In addition, if they are allocated in the power spectrum of chaotic oscillations on the background of a continuous component, spectral lines have a finite width.
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0172-7389 emphasis on systems with self-sustained oscillations and syn.This text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors. The lectures treat in turn the fun
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