Nonlinear Dynamics in Complex Systems via Fractals and Fractional Calculus

• Format: eBook
• Language: English
• Published: MDPI - Multidisciplinary Digital Publishing Institute 2023
• Subjects: 6G communication; adaptive synchronization; atmosphere; attractor; autocorrelation dimension; bearing fault diagnosis; bifurcation; ceilometer; ceramics; chaos; circuit implementation; circuit simulation; coexisting attractors; conductivity; correlation dimension; delayed feedback; dispersion entropy; electronic circuit; feature extraction; fractal; fractal analysis; fractal antenna; fractal dimension; fractal geometry; fractional order; fuzzy dispersion entropy; global bifurcation; heteroclinic orbit; hidden attractor; homoclinic orbit; hyperchaos; lacunarity; Mathematics and Science; MEMS resonator; Minkowski’s loop; multifractal; multifractality; n/a; non-autonomous discrete systems; offset boosting; PBL dynamics; permutation entropy; phase space; pull-in instability; radiometer data; Reference, Information and Interdisciplinary subjects; Research and information: general; safe basin; scale relativity theory; SEM micrographs; sensitivity; slope entropy; symbolic dynamics; time series; time series complexity; uniformly converge; unstable periodic orbit; Zircaloy-4
• ISBN: 9783036583365; 3036583378; 303658336X; 9783036583372
• DOI: 10.3390/books978-3-0365-8337-2

Current advances in the knowledge of nonlinear dynamical networks, systems and processes, as well as their unified repercussions, allow us to include some typical complex natural phenomena, from the nanoscale to an extra-galactic scale, in an unitarian comprehensive manner. In other words, the physical, biological and financial data, as well as technological ones (mechanical or electronic devices), of complex systems available today can be managed by the same unique conceptual approach, both analytically and through a computer simulation, using effective nonlinear dynamics procedures. This volume collected some important advances in the fields of fractal curves, fractal analysis and fractional calculus, as well as new solutions of fractal differential equations. The works edited in the present technical publication are those that appeared in the Fractal and Fractional journal, in a Special Issue of the same name.