Applied Non-Linear Dynamical Systems / edited by Jan Awrejcewicz.

Format:

Book

Contributor:

Awrejcewicz, J. (Jan), Editor.

Series:

Springer Proceedings in Mathematics & Statistics, 2194-1017 ; 93

Language:

English

Subjects (All):

Dynamics.

Differential equations.

Dynamical Systems.

Differential Equations.

Local Subjects:

Dynamical Systems.

Differential Equations.

Physical Description:

1 online resource (535 p.)

Edition:

1st ed. 2014.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2014.

Language Note:

English

Summary:

The book is a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the International Conference on Dynamical Systems: Theory and Applications, held in Łódź, Poland on December 2-5, 2013. The studies give deep insight into both the theory and applications of non-linear dynamical systems, emphasizing directions for future research. Topics covered include: constrained motion of mechanical systems and tracking control; diversities in the inverse dynamics; singularly perturbed ODEs with periodic coefficients; asymptotic solutions to the problem of vortex structure around a cylinder; investigation of the regular and chaotic dynamics; rare phenomena and chaos in power converters; non-holonomic constraints in wheeled robots; exotic bifurcations in non-smooth systems; micro-chaos; energy exchange of coupled oscillators; HIV dynamics; homogenous transformations with applications to off-shore slender structures; novel approaches to a qualitative study of a dissipative system; chaos of postural sway in humans; oscillators with fractional derivatives; controlling chaos via bifurcation diagrams; theories relating to optical choppers with rotating wheels; dynamics in expert systems; shooting methods for non-standard boundary value problems; automatic sleep scoring governed by delay differential equations; isochronous oscillations; the aerodynamics pendulum and its limit cycles; constrained N-body problems; nano-fractal oscillators; and dynamically-coupled dry friction.

Contents:

Duffing-Type Oscillators with Amplitude-Independent Period

Asymptotics of Rigid-Body Motions for Nonlinear Dynamics: Physical In-sight and Methodologies

Non-Linear Phenomena Exhibited by Flexible Cylindrical and Sector Shells

Gear Shift Patterns in Uncertain Terrestrial Locomotion Systems

Turbulence in Flexible Plates and Shells

Using Bifurcation Diagrams for Controlling Chaos

Shear Waves Dispersion in Cylindrically Structured Cancellous Viscoelastic Bones

Quasi-Regular and Chaotic Dynamics of Postural Sway in Human

Modeling of Ropes with Consideration of Large Deformations and Friction by Means of the Rigid Finite Element Method

Dynamical Response of a Van Der Pol-Duffing System with an External Harmonic Excitation and Fractional Derivative

Vortex Structure Around the Cylinder at a Flow of Viscous Fluid

Asymptotic Analysis and Limiting Phase Trajectories in The Dynamics of Spring Pendulum

Vibration Surveillance System with Variable Stiffness Holder for Flexible Details Milling

Diversities in the Inverse Dynamics Problem for Underactuated Mechanical Systems Subject to Servo-Constraints

Rare Phenomena and Chaos in Switching Power Converters

Constrained Motion of Mechanical Systems and Tracking Control of Nonlinear Systems

The General Conception of Intellectual Investigation the Regular and Chaotic Behavior of Dynamical Systems of Special Structure

Dynamic Properties of Two-Axle Freight Wagon with UIC Double-Link Suspension as a Non-Smooth System with Dry Friction

Dynamics of Mechanical Systems with Mecanum Wheels

Reliability Analysis of the Dynamics of a Horizontal Drill-String

Transition in Oscillatory Behavior in Mouse Oocyte and Mouse Embryo Trough Oscillatory Spherical Net Model of Mouse Zona Pellucida

Constrained N-Body Problems

Hunting French Ducks in Population Dynamics

Model of Nonlinear Fractal Oscillator in Nanosystem

Dynamical Statement Networks

The Shooting Method for Non-Standard Boundary Value Problem

Automatic Sleep Scoring From a Single Electrode Using Delay Differential Equations

Methods for the Quick Analysis of Micro-Chaos

Bouncing Ball Dynamics: Simple Motion of the Table Approximating the Sinusoidal Motion

Periodic Motions of Coupled Oscillators Excited by Dry Friction and Harmonic Force

Limit Cycle Oscillations of an Aerodynamic Pendulum

Vibratory Energy Localization by Non-Smooth Energy Sink with Time-Varying Mass

Coordinate-Free Formulation of Nonholonomic Constraints for Wheeled Robots

Optomechatronic Choppers with Rotating Elements: Design Programs

A Delay Mathematical Model for HIV Dynamics in HIV-Specific

The Application of Parametric Excitation in Resonant MEMS Gyros

Influence of Smart Materials on the Dynamical Response of Mechanical Oscillator

Dynamical Pendulum-Like Nonconservative Systems.

Notes:

Description based upon print version of record.

Includes bibliographical references at the end of each chapters and index.

ISBN:

3-319-08266-3

OCLC:

894508788