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Bifurcation Chaos"],"published-print":{"date-parts":[[2026,5]]},"abstract":"<jats:p>This paper presents a novel chameleon chaotic system derived from a generalized Duffing oscillator, where the linear damping parameter c controls the transition between hidden and self-excited attractors. The investigation covers the system\u2019s basic properties, including symmetries, dissipativity, and equilibrium stability, where the stability analysis identifies a supercritical Hopf bifurcation at [Formula: see text] as the transition mechanism. This bifurcation helps to find two potential dynamical regimes: for [Formula: see text], the system may exhibit hidden attractors coexisting with a stable equilibrium; for [Formula: see text], self-excited attractors can arise from the unstable equilibrium. By setting several parameters to fixed values, including the critical condition [Formula: see text], we define the model\u2019s reduced system with an elegant form. A detailed analysis of this system using bifurcation and continuation diagrams, Lyapunov exponents, return map, and power spectrum shows the existence of a hidden chaotic attractor and reveals rich multistability behavior. Bifurcation studies across multiple parameter planes demonstrate period-doubling cascades to chaos, periodic windows, and complex dynamical landscapes. Finally, the phase portraits produced by an FPGA-based realization closely match numerical simulations, thus enabling our manageability of the chameleon dynamics.<\/jats:p>","DOI":"10.1142\/s0218127426500744","type":"journal-article","created":{"date-parts":[[2026,2,6]],"date-time":"2026-02-06T06:59:01Z","timestamp":1770361141000},"source":"Crossref","is-referenced-by-count":0,"title":["Exploring Chameleon Chaos: A Linearly Modulated Generalized Duffing System with Hidden and Self-Excited Attractors"],"prefix":"10.1142","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0009-0006-1041-3986","authenticated-orcid":false,"given":"Xueqing","family":"Liu","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, P.\u00a0R. 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