Titlebook: Discretization and Implicit Mapping Dynamics; Albert C. J. Luo Book 2015 The Editor(s) (if applicable) and The Author(s), under exclusive

Infirm

https://doi.org/10.1007/978-3-662-47275-0Chaos Duffing Oscillator; Discretization Continuous Systems; Discretization-Implicit Mapping Dynamics-

希望

finite

E. El Halabi,M. Third,M. DoolanFor solutions of periodic motions in nonlinear dynamical systems, analytical and numerical techniques have been adopted. The analytical methods include the method of averaging, perturbation methods, harmonic balance method, and generalized harmonic balance method.

paragon

侵害

Book 2015 are shown as a sample problem, while the discrete Fourier series of periodic motions and chaos are also presented. The book offers a valuable resource for university students, professors, researchers and engineers in the fields of applied mathematics, physics, mechanics, control systems, and engineering.

Coronation

Brochure

Nonlinear Discrete Systems,systems is presented. The stability switching and bifurcation on specific eigenvectors of the linearized system at fixed points under a specific period are discussed. The higher-order singularity and stability for nonlinear discrete systems on the specific eigenvectors are also presented.

callous

Discretization of Continuous Systems,s of continuous systems. Basic discrete schemes are presented which include forward and backward Euler methods, midpoint, and trapezoidal rule method. An introduction to Runge–Kutta methods is presented, and the Taylor series method and second-order Runge–Kutta method are introduced. The explicit Ru

OGLE

Prostatism

Periodic Flows in Continuous Systems,cal systems will be discussed first by the one-step discrete maps, and then, the period-m flows in nonlinear dynamical systems will also be discussed through the one-step discrete maps. Multi-step, implicit discrete maps will be used to discuss the period-1 and period-m motions in nonlinear dynamica