By Albert C. J. Luo

This e-book for the 1st time examines periodic motions to chaos in time-delay platforms, which exist greatly in engineering. for a very long time, the steadiness of time-delay platforms at equilibrium has been of significant curiosity from the Lyapunov theory-based equipment, the place one can't in achieving the fitting effects. hence, time-delay discretization in time-delay platforms was once used for the soundness of those structures. during this quantity, Dr. Luo provides a correct technique in keeping with the finite Fourier sequence to figure out periodic motions in nonlinear time-delay platforms. the soundness and bifurcation of periodic motions are decided by way of the time-delayed process of coefficients within the Fourier sequence and the tactic for nonlinear time-delay platforms is corresponding to the Laplace transformation process for linear time-delay systems.

Show description

Read Online or Download Periodic Flows to Chaos in Time-delay Systems (Nonlinear Systems and Complexity) PDF

Similar chaos & systems books

New PDF release: Toward Analytical Chaos in Nonlinear Systems

Distinctive analytical recommendations to periodic motions in nonlinear dynamical structures are nearly impossible. because the 18th century, one has largely used options comparable to perturbation how to receive approximate analytical ideas of periodic motions in nonlinear platforms. although, the perturbation equipment can't give you the sufficient accuracy of analytical suggestions of periodic motions in nonlinear dynamical platforms.

Get Rotation and Momentum Transport in Magnetized Plasmas PDF

This booklet compiles the contributions from quite a few foreign specialists on magnetized plasma physics, either in managed fusion and in astrophysics, and on atmospheric technological know-how. most modern effects are awarded besides new principles. some of the aspects of rotation and momentum shipping in advanced platforms are mentioned, together with atmospheric-ocean turbulence, the restrictions, and the idea that of capability vorticity.

Two-Fluid Model Stability, Simulation and Chaos - download pdf or read online

This publication addresses the linear and nonlinear two-phase balance of the one-dimensional Two-Fluid version (TFM) fabric waves and the numerical tools used to unravel it. The TFM fluid dynamic balance is an issue that continues to be open because its inception greater than 40 years in the past. the trouble is bold since it comprises the mixed demanding situations of two-phase topological constitution and turbulence, either nonlinear phenomena.

Proceedings of the 4th International Conference on by Visarath In,Patrick Longhini,Antonio Palacios PDF

This e-book provides collaborative study works performed through experimentalists and theorists around the globe within the box of nonlinear dynamical platforms. It offers a discussion board for purposes of nonlinear structures whereas fixing sensible difficulties in technological know-how and engineering. themes comprise: utilized Nonlinear Optics, Sensor, Radar & verbal exchange sign Processing, Nano units, Nonlinear Biomedical purposes, Circuits & platforms, Coupled Nonlinear Oscillator, Precision Timing units, Networks, and different modern issues within the common box of Nonlinear technology.

Extra resources for Periodic Flows to Chaos in Time-delay Systems (Nonlinear Systems and Complexity)

Example text

Download PDF sample

Periodic Flows to Chaos in Time-delay Systems (Nonlinear Systems and Complexity) by Albert C. J. Luo


by Michael
4.0

Rated 4.38 of 5 – based on 29 votes