By Albert C. J. Luo

This distinctive ebook offers the discretization of continuing platforms and implicit mapping dynamics of periodic motions to chaos in non-stop nonlinear structures. the steadiness and bifurcation thought of mounted issues in discrete nonlinear dynamical platforms is reviewed, and the categorical and implicit maps of continuing dynamical platforms are built throughout the single-step and multi-step discretizations. The implicit dynamics of period-m strategies in discrete nonlinear structures are mentioned. The e-book additionally bargains a generalized approach to finding analytical and numerical strategies of strong and volatile periodic flows to chaos in nonlinear structures with/without time-delay. The bifurcation bushes of periodic motions to chaos within the Duffing oscillator are proven as a pattern challenge, whereas the discrete Fourier sequence of periodic motions and chaos also are offered. The publication deals a worthy source for collage scholars, professors, researchers and engineers within the fields of utilized arithmetic, physics, mechanics, regulate structures, and engineering.

Show description

Read Online or Download Discretization and Implicit Mapping Dynamics (Nonlinear Physical Science) PDF

Similar chaos & systems books

Albert C. J. Luo's Toward Analytical Chaos in Nonlinear Systems PDF

Targeted analytical suggestions to periodic motions in nonlinear dynamical structures are nearly impossible. because the 18th century, one has broadly used suggestions similar to perturbation the way to receive approximate analytical suggestions of periodic motions in nonlinear platforms. even though, the perturbation tools can't give you the sufficient accuracy of analytical strategies of periodic motions in nonlinear dynamical platforms.

Download PDF by Ghendrih Philippe et al,Patrick H Diamond,Xavier: Rotation and Momentum Transport in Magnetized Plasmas

This booklet compiles the contributions from a number of overseas specialists on magnetized plasma physics, either in managed fusion and in astrophysics, and on atmospheric technology. latest effects are offered besides new rules. many of the elements of rotation and momentum delivery in complicated structures are mentioned, together with atmospheric-ocean turbulence, the limitations, and the concept that of strength vorticity.

Download PDF by Martín López de Bertodano,William Fullmer,Alejandro: Two-Fluid Model Stability, Simulation and Chaos

This booklet 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 is still open when you consider that its inception greater than 40 years in the past. the trouble is ambitious since it contains the mixed demanding situations of two-phase topological constitution and turbulence, either nonlinear phenomena.

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

This ebook provides collaborative examine works conducted through experimentalists and theorists all over the world within the box of nonlinear dynamical platforms. It offers a discussion board for purposes of nonlinear platforms whereas fixing useful difficulties in technology and engineering. subject matters comprise: utilized Nonlinear Optics, Sensor, Radar & conversation sign Processing, Nano units, Nonlinear Biomedical functions, Circuits & platforms, Coupled Nonlinear Oscillator, Precision Timing units, Networks, and different modern themes within the common box of Nonlinear technology.

Extra resources for Discretization and Implicit Mapping Dynamics (Nonlinear Physical Science)

Sample text

Download PDF sample

Discretization and Implicit Mapping Dynamics (Nonlinear Physical Science) by Albert C. J. Luo


by Christopher
4.1

Rated 4.93 of 5 – based on 15 votes