Stochastic Regimes in the Driven Oscillator with a Step-Like Nonlinearity

TL;DR

This paper investigates how a nonlinear oscillator with a sudden change in restoring force exhibits stochastic behavior under resonance, shedding light on electron energization in strong electromagnetic interactions.

Contribution

It introduces a model of a driven nonlinear oscillator with step-like nonlinearity to explain stochastic phenomena relevant to electron acceleration.

Findings

Identification of resonance conditions leading to stochastic behavior

Explanation of electron energization mechanisms in electromagnetic interactions

Insight into the role of abrupt nonlinearity in oscillator dynamics

Abstract

A nonlinear oscillator with an abruptly inhomogeneous restoring force driven by an uniform oscillating force exhibits stochastic properties under specific resonance conditions. This behaviour elucidates the elementary mechanism of the electron energization in the strong electromagnetic wave interaction with thin targets.