A very simple nonlinear parallel nonautonomous LCR circuit with Chua’s diode as its only nonlinear element, exhibiting a rich variety of dynamical features, is proposed as a variant of the simplest nonlinear nonautonomous circuit introduced by Murali, Lakshmanan and Chua (MLC). By constructing a two-parameter phase diagram in the (F–ω) plane, corresponding to the forcing amplitude (F ) and freq...

We show that the following geometric properties of the motion of discrete and continuous curves select integrable dynamics: i) the motion of the curve takes place in the N dimensional sphere of radius R, ii) the curve does not stretch during the motion, iii) the equations of the dynamics do not depend explicitly on the radius of the sphere. Well known examples of integrable evolution equations,...

R. Suresh, K. Srinivasan, D. V. Senthilkumar, K. Murali, M. Lakshmanan, and J. Kurths Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirapalli-620024, India Centre for Dynamics of Complex Systems, University of Potsdam, 14469 Potsdam, Germany Potsdam Institute for Climate Impact Research, 14473 Potsdam, Germany Department of Physics, Anna University, Chennai, I...

Using the differential geometry of curves and surfaces the Lakshmanan equivalent counterpart of the M-XXII equation is found. It is shown that these equations are too gauge eqivalent to each other. Also the gauge equivalence between the Strachan and M-XXII q equations is established. Some integrals of motion are presented. It is well known that the spectral parameter of the some (2+1)-dimension...

we consider a new type of integrable coupled nonlinear schrodinger (cnls)equations proposed by our self [submitted to phys. plasmas (2011)]. the explicitform of soliton solutions are derived using the hirota's bilinear method.we show that the parameters in the cnls equations only determine the regionsfor the existence of bright and dark soliton solutions. finally, throughthe linear stabili...

How to represent transparent motion with neuronal populations is important problem for the theory of multiple motion detection. Previous models are based on the assumption that the population activity to transparent motion is proportional to a linear combination of the responses to individual motions. However, there is a possibility that the population activity becomes a nonlinear combination o...

Abstract Under consideration is a $$(2+1)$$ ( 2 + 1 ) -dimensional spin nonisospectral Myrzakulov-Lakshmanan-IV (ML-IV) equation, which has close relation with the celebrated nonlinear Schrödinger equation. In first pla...

This study was done to optimize accuracy of predicting growth of Salmonella serovars, Escherichia coli O157:H7, and Staphylococcus aureus in temperature-abused raw beef, poultry, and bratwurst (with salt but without added nitrite). Four mathematical approaches were used with experimentally determined lag-phase duration (LPD) and growth rate (GR) values to develop 12 versions of THERM (Temperatu...

in this paper, we use a combination of legendre and block-pulse functionson the interval [0; 1] to solve the nonlinear integral equation of the second kind.the nonlinear part of the integral equation is approximated by hybrid legen-dre block-pulse functions, and the nonlinear integral equation is reduced to asystem of nonlinear equations. we give some numerical examples. to showapplicability of...