2026-10-14T06:09:50Z
https://api.figshare.com/v2/oai
oai:figshare.com:article/34017896
2026-09-28T17:56:34Z
category_1
category_146
category_915
category_15
category_16
category_873
category_502
category_811
portal_5
item_type_1
month_year_09_2026
<p>Largest Lyapunov exponent spectrum.</p>
Khaleel Ahmad (19500666)
Sahib Yar (25132868)
Abdul Rahim Khan (25132871)
Nida Najeeb (25132874)
Adil Jhangeer (9711917)
Walid Abdelfattah (21380280)
Biophysics
Space Science
Physical Sciences not elsewhere classified
Neuroscience
Physiology
Chemical Sciences not elsewhere classified
Astronomical and Space Sciences not elsewhere classified
Mathematical Sciences not elsewhere classified
univariate enriched theory
strictly stronger requirement
period doubling route
ordered banach spaces
intermediate periodic windows
every algebraic step
enriched bivariate contractions
coupled fixed points
coupled fixed point
rus contractions ().
rus contractions ()
measured convergence factor
long time dynamics
enriched bivariate map
coupled krasnoselskij iteration
uniqueness even though
enriched bivariate mappings
enriched bivariate ciric
div >< p
sharp sufficient condition
coupled iteration
rus operator
geometric convergence
volterra systems
two classes
single variable
reduction yields
product space
numerical results
methodological contribution
fabrizio derivative
explicit map
enrichment constants
earlier formulations
direct computation
coupling doubles
contraction constants
condition 2
computed independently
bifurcation diagram
applied first
abstract results
1 stated
1 fails
<p>The exponent as a function of for the Caputo-Fabrizio Thomas system (<i>q</i> = 0.98, ), computed from the exact variational (tangent) recurrence of the two step scheme. The shaded band is the small positive floor (about 0.008) induced by the finite step size in regular regimes; green markers denote regular (periodic or quasi-periodic) motion within the floor and red markers denote chaotic motion clearly above it. The structure matches the bifurcation diagram of <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0358480#pone.0358480.g010" target="_blank">Fig 10</a> window for window, including the period-3 window near .</p>
2026-09-28T17:56:21Z
Image
Figure
10.1371/journal.pone.0358480.g011
https://figshare.com/articles/figure/_p_Largest_Lyapunov_exponent_spectrum_p_/34017896
CC BY 4.0