Open Access. Powered by Scholars. Published by Universities.®
- Discipline
-
- Non-linear Dynamics (25)
- Partial Differential Equations (21)
- Mathematics (15)
- Ordinary Differential Equations and Applied Dynamics (5)
- Electrical and Computer Engineering (3)
-
- Engineering (3)
- Electrical and Electronics (2)
- Applied Statistics (1)
- Astrophysics and Astronomy (1)
- Computer Sciences (1)
- Cosmology, Relativity, and Gravity (1)
- Dynamical Systems (1)
- Economic Theory (1)
- Economics (1)
- Finance (1)
- Fluid Dynamics (1)
- Longitudinal Data Analysis and Time Series (1)
- Numerical Analysis and Computation (1)
- Oceanography and Atmospheric Sciences and Meteorology (1)
- Other Oceanography and Atmospheric Sciences and Meteorology (1)
- Physics (1)
- Power and Energy (1)
- Probability (1)
- Social and Behavioral Sciences (1)
- Statistics and Probability (1)
- Systems and Communications (1)
- Theory and Algorithms (1)
- Keyword
-
- Solitons (7)
- Integrable systems (5)
- Lax Pair (5)
- Peakons (5)
- Integrable Systems (3)
-
- Camassa-Holm equation (2)
- Conservation Laws (2)
- Diffeomorphysm group (2)
- Integrability (2)
- Integrable equations (2)
- Inverse Scattering (2)
- Inverse scattering (2)
- Lie Group (2)
- Variational Principle (2)
- Virasoro algebra (2)
- Anharmonic oscillator (1)
- Conformal Invariants (1)
- Conformal invariants (1)
- Continuum spin chains (1)
- Cosmological relevance (1)
- Cryptography (1)
- Demand profiling (1)
- Diffeomorphisms (1)
- Diffusion based models (1)
- Domestic (1)
- Electricity (1)
- Electromagnetic fields and waves (1)
- Energy (1)
- Euler - Poincare equations (1)
- Euler-Poincare Equations (1)
- Publication Year
Articles 31 - 31 of 31
Full-Text Articles in Dynamic Systems
An Explicit Mapping Between The Frequency Domain And The Time Domain Representations Of Nonlinear Systems, Marissa Condon, Rossen Ivanov
An Explicit Mapping Between The Frequency Domain And The Time Domain Representations Of Nonlinear Systems, Marissa Condon, Rossen Ivanov
Articles
Explicit expressions are presented that describe the input-output behaviour of a nonlinear system in both the frequency and the time domain. The expressions are based on a set of coefficients that do not depend on the input to the system and are universal for a given system. The anharmonic oscillator is chosen as an example and is discussed for different choices of its physical parameters. It is shown that the typical approach for the determination of the Volterra Series representation is not valid for the important case when the nonlinear system exhibits oscillatory behaviour and the input has a pole …