Titlebook: Global Bifurcations and Chaos; Analytical Methods Stephen Wiggins Book 1988 Springer-Verlag New York, Inc. 1988 bifurcation.chaos.different

拍翅

Desert

不可比拟

0066-5452 deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives explicit techniques whereby these mechanisms can be detected in specific systems. These techniques can be viewed as generalizations of Melnikov‘s method to multi-d

single

0066-5452 strated with drawings that enable the reader to build visual pictures of global dynamcis of the systems being described. This approach leads to an enhanced intuitive understanding of the theory.978-1-4612-1041-2978-1-4612-1042-9Series ISSN 0066-5452 Series E-ISSN 2196-968X

军械库

Book 1988reedom systems subject to slowly varying parameters and quasiperiodic excitations. A unique feature of the book is that each theorem is illustrated with drawings that enable the reader to build visual pictures of global dynamcis of the systems being described. This approach leads to an enhanced intuitive understanding of the theory.

袭击

https://doi.org/10.1007/978-3-322-90452-2tems which we will need for the remainder of the book. We will begin with some results from classical ordinary differential equations theory such as existence and uniqueness of solutions, dependence of solutions on initial conditions and parameters, and various concepts of stability. We will then di

杠杆

,Arbeit — Geschlecht — Transformation,dy of these special orbits comes from the fact that, in recent years, it has become apparent that homoclinic and heteroclinic orbits are often the mechanism for the chaos and transient chaos numerically observed in physical systems. We will comment on specific examples as we go along.

旧式步枪

https://doi.org/10.1007/978-3-658-40519-9ri could often be mechanisms for producing deterministic chaos. In this chapter we will develop a variety of perturbation techniques which will allow us to detect such homoclinic and heteroclinic orbits.

范例

chassis

Homoclinic and Heteroclinic Motions,dy of these special orbits comes from the fact that, in recent years, it has become apparent that homoclinic and heteroclinic orbits are often the mechanism for the chaos and transient chaos numerically observed in physical systems. We will comment on specific examples as we go along.