作者: 放縱 時(shí)間: 2025-3-21 22:23 作者: Accord 時(shí)間: 2025-3-22 01:40 作者: 野蠻 時(shí)間: 2025-3-22 05:37
,Systems with Phase Space Dimension , ≥ 3: Deterministic Chaos,uilibrium states and limit cycles increases significantly, and many of them have not yet been studied. Some saddle sets become possible, such as an equilibrium state of the saddle-focus type and a saddle limit cycle. A cycle of the saddle-focus type and a saddle torus can be realized in a phase spac作者: 思想上升 時(shí)間: 2025-3-22 12:00
From Order to Chaos: Bifurcation Scenarios (Part I),ce of nonlinearity increases, the dynamical regime becomes more complicated. Simple attractors in the phase space of a dissipative system are replaced by more complicated ones. Under certain conditions, nonlinearity can lead to the onset of dynamical chaos. Moving along a relevant direction in the p作者: inspired 時(shí)間: 2025-3-22 12:57 作者: inspired 時(shí)間: 2025-3-22 19:29
Robust and Nonrobust Dynamical Systems: Classification of Attractor Types,yagin systems on the plane, there appears a class of robust systems with nontrivial hyperbolicity, i.e., systems with chaotic dynamics. Chaotic attractors of robust hyperbolic systems are, in the rigorous mathematical sense, strange attractors. They usually represent some mathematical idealization a作者: 氣候 時(shí)間: 2025-3-22 23:15 作者: dithiolethione 時(shí)間: 2025-3-23 05:21 作者: HEED 時(shí)間: 2025-3-23 09:20
Quasiperiodic Oscillator with Two Independent Frequencies,ct that they include two or more independent frequencies in the oscillation spectrum: . where ..(.) = ..., . = 1, 2, ., .. As a result, .(.) in (12.1) is 2.-periodic in each argument ..(.), but the quasiperiodic process itself is, in the general case, non-periodic, i.e., .(.) ≠ .(. + ..).作者: 草率女 時(shí)間: 2025-3-23 11:24 作者: 哎呦 時(shí)間: 2025-3-23 13:53
Synchronization of Two-Frequency Self-Sustained Oscillations,ect of mutual synchronization that corresponds to rational values of the Poincaré winding number. In this case synchronization regions are characterized by the so-called Arnold tongues, where the winding number . satisfies the condition . = .: ., with . and . positive integers.作者: 排出 時(shí)間: 2025-3-23 21:26
Synchronization of Chaotic Oscillations, In connection with the development of nonlinear dynamics and the theory of dynamical chaos, the question of synchronization of chaotic oscillations inevitably arises. Being the fundamental property of self-sustained oscillatory systems, synchronization must also be observed in one form or another i作者: inconceivable 時(shí)間: 2025-3-24 00:06 作者: 喃喃訴苦 時(shí)間: 2025-3-24 03:03
Dynamical Systems,n the system at the initial time ... Depending on the complexity of the system, this law can be deterministic or probabilistic, and it can describe either the temporal or the spatio-temporal evolution of the system.作者: exophthalmos 時(shí)間: 2025-3-24 07:52
Bifurcations of Dynamical Systems, physical problems lead to differential equations or maps which depend on one or several parameters. Fixing parameter values determines the type of solutions for given initial conditions, while variation of these values may result in both quantitative and qualitative changes in the nature of the solutions.作者: Wernickes-area 時(shí)間: 2025-3-24 14:02 作者: Dignant 時(shí)間: 2025-3-24 18:05 作者: exclamation 時(shí)間: 2025-3-24 22:42 作者: reflection 時(shí)間: 2025-3-24 23:25 作者: Malleable 時(shí)間: 2025-3-25 03:27
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.作者: BUCK 時(shí)間: 2025-3-25 09:54
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.作者: HAIL 時(shí)間: 2025-3-25 14:44
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..作者: 結(jié)果 時(shí)間: 2025-3-25 19:44
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.作者: GLADE 時(shí)間: 2025-3-25 22:20 作者: 首創(chuàng)精神 時(shí)間: 2025-3-26 02:44 作者: painkillers 時(shí)間: 2025-3-26 05:23 作者: Noisome 時(shí)間: 2025-3-26 08:32
,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.作者: 間接 時(shí)間: 2025-3-26 15:11
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.作者: SPECT 時(shí)間: 2025-3-26 17:37
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作者: 口音在加重 時(shí)間: 2025-3-26 21:07
Cesar Petri,Ralph Scorza,Chris Dardickn the system at the initial time ... Depending on the complexity of the system, this law can be deterministic or probabilistic, and it can describe either the temporal or the spatio-temporal evolution of the system.作者: 混沌 時(shí)間: 2025-3-27 01:36 作者: AVANT 時(shí)間: 2025-3-27 08:52
Genomics of Viral–Soybean Interactions by more complicated ones. Under certain conditions, nonlinearity can lead to the onset of dynamical chaos. Moving along a relevant direction in the parameter space, a sequence of bifurcations can be observed, resulting in the appearance of a chaotic attractor. Such typical bifurcation sequences are called ., or ..作者: 季雨 時(shí)間: 2025-3-27 11:08 作者: 使殘廢 時(shí)間: 2025-3-27 15:27
Stability of Dynamical Systems: Linear Approach,inherent in any system. The common feature is that, when we talk about stability, we understand the way the dynamical system reacts to a small perturbation of its state. If arbitrarily small changes in the system state begin to grow in time, the system is unstable. Otherwise, small perturbations dec作者: ascetic 時(shí)間: 2025-3-27 19:32
,Systems with Phase Space Dimension , ≥ 3: Deterministic Chaos,ons can be observed. New types of attractors can emerge, namely, two-dimensional and multi-dimensional tori corresponding to quasiperiodic regimes, and strange chaotic attractors, which are the signature of dynamical chaos. Special types of DS behavior and special ‘exotic’ attractors can be observed作者: 柳樹；枯黃 時(shí)間: 2025-3-27 22:24 作者: 凝結(jié)劑 時(shí)間: 2025-3-28 03:57 作者: 植物學(xué) 時(shí)間: 2025-3-28 08:12 作者: Choreography 時(shí)間: 2025-3-28 11:17 作者: Synchronism 時(shí)間: 2025-3-28 18:30 作者: 鉤針織物 時(shí)間: 2025-3-28 22:31 作者: 黃油沒有 時(shí)間: 2025-3-29 01:23
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 ..作者: overwrought 時(shí)間: 2025-3-29 04:17
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 ..作者: 咽下 時(shí)間: 2025-3-29 10:16
,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 ..作者: BLAZE 時(shí)間: 2025-3-29 12:18
https://doi.org/10.1007/978-3-319-06871-8Anishchenko-Astakhov Oscillator; Deterministic Chaos Theory; Nonlinear Dynamics Textbook; Oscillations 作者: 厚顏 時(shí)間: 2025-3-29 18:52
978-3-319-37852-7Springer International Publishing Switzerland 2014作者: 煉油廠 時(shí)間: 2025-3-29 20:56
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作者: 得意人 時(shí)間: 2025-3-30 00:55 作者: LIEN 時(shí)間: 2025-3-30 07:29 作者: Robust 時(shí)間: 2025-3-30 11:30 作者: enumaerate 時(shí)間: 2025-3-30 16:22 作者: 發(fā)電機(jī) 時(shí)間: 2025-3-30 19:46
Genomics of Insect-Soybean Interactionsunstable chaotic trajectories appear on a three-dimensional torus. However, the study of particular dynamical systems has shown that the appearance of chaos following the destruction of two-frequency quasiperiodic motion is also a typical scenario of the transition to chaos. According to this route,作者: growth-factor 時(shí)間: 2025-3-30 21:12
Soybean Molecular Genetic Diversityyagin systems on the plane, there appears a class of robust systems with nontrivial hyperbolicity, i.e., systems with chaotic dynamics. Chaotic attractors of robust hyperbolic systems are, in the rigorous mathematical sense, strange attractors. They usually represent some mathematical idealization a作者: ineffectual 時(shí)間: 2025-3-31 03:18
Chromosome Genomics in the Triticeae any phase trajectory starting from some point of the system phase space passes arbitrarily close to the initial state an infinite number of times. H. Poincaré called these phase trajectories stable according to Poisson. Since Poincaré’s day, the analysis of the dynamics of Poisson stable systems ha
