Published: 15 September 2013

The Exact Nonlinear Dynamics. New Bifurcation Groups with Chaos and Rare Attractors

M. Zakrzhevsky1
1Institute of Mechanics of Riga Technical University, Latvia
Corresponding Author:
M. Zakrzhevsky
Views 1
Reads 0
Downloads 1226

Abstract

New nonlinear models which allows to obtain exact periodic, quasi-periodic and chaotic attractors and transients processes, are proposed. The idea of “exact” models has its corner-stone in description of restoring, damping and excitation forces only by constant forces on each its linear sub-system. Examples with a system with one potential well, two potential wells and pendulum systems are discussed. We suppose that it will be possible finding the exact simple analytical formulae for periodic, quasi-periodic and chaotic dynamics in different nonlinear models.

About this article

Received
Accepted
01 September 2013
Published
15 September 2013