1.1  Chaos 
At  the  end  of  the  twentieth  century,  terms  such  as 
“Chaos”,  “Fractals”,  and  “Complex  systems”  got 
much  attention  in  the  field  of  science.  Chaos,  as 
academic  jargon,  in  general  terms  does  not  mean, 
“Disordered”.  Chaos  might  be  the  order  with  a 
dynamic  fluctuation.  According  to  Aihara(1993), 
chaos  is  “a  phenomenon  with  very  complicated, 
irregular,  and  unstable  behaviors  because  of  the 
nonlinearity  of  the  system,  although  the  system  is 
following deterministic laws, and it is impossible to 
predict the future state.” Chaos might be expressed as 
a  “fluctuation”  to  facilitate  understanding.  Many 
natural  and  biological  phenomena  are  complex 
systems  that  fluctuate  with  chaos.  For  example, 
fingertip pulse waves, which are biosignals, including 
information  of  the  central  nervous  system,  and  the 
autonomic  nervous  system,  among  others,  are 
considered  chaotic  phenomena.  Chaos  analysis  is  a 
nonlinear  time  series  analysis  that  quantifies  the 
strength  of  chaos,  and  objectively  recognizes  the 
psychosomatic  state  by  extracting  information  that 
cannot be obtained through linear analysis (Imanishi 
&  Oyama,2008).  The  fluctuation  is  expressed  by 
quantitative  values  such  as  Largest  Lyapunov 
Exponent  (LLE),  which  is  a  quantification  of 
sensitivity to the initial conditions, which is one of the 
characteristics  of  chaos.  Many  researchers  have 
indicated a correlation between a chaotic fluctuation 
expressed  by  LLE  of  biological  information  and 
mental and physical health. The external adaptability 
declines,  and  physical  and  mental  health  cannot  be 
maintained when a low level of LLE continues, i.e., 
when a non-fluctuant condition continues over time. 
It has been indicated that the attractor of patients with 
depression or dementia has low fluctuations, and the 
LLE  is  reduced.  When  depression  advances,  LLE 
becomes further decreases (Oyama, 2012). Imanishi, 
Shiomi, & Oyama (2009) and Oyama (2012) reported 
that LLE of fingertip pulse waves declined when an 
excessive  mental  and  physical  load  was  applied  to 
participants,  suggesting  that  LLE  of  fingertip  pulse 
waves is correlated with mental and physical health. 
The  above  findings  suggest  that  LLE,  which  is 
biological  data,  might  be  deeply  correlated  with 
mental and physical health. The fingertip pulse wave 
LLE  is  a  useful  and  objective  index  that  correlates 
with mental and physical health. Moreover, fingertip 
pulse waves can be measured easily using a fingertip 
cuff  and  need  only  1-2  minutes  for  a  completed 
measurement,  which  is  a  non-invasive  method  that 
places  a  low  physical  and  mental  burden  on 
participants. 
 
1.2  Purpose 
As described above, it is necessary to use objective 
indices in reminiscence studies. Efficiently assessing 
reminiscence therapy's effects using objective indices 
through  chaos  analysis  of  fingertip  pulse  waves 
would  contribute  to  further  development  of 
reminiscence therapy  and  provide a  useful  measure 
for  managing  different  older  adults'  problems  in  a 
super-aging society. However, previous studies have 
not  correlated  reminiscence  with  LLE  of  fingertip 
pulse  waves.  In  reminiscence  therapy, 
autobiographical  memories  are  shared  between 
clients or between the client and therapist, which is 
expected  to  affect  clients’  emotions  and  self-
cognition. The present study examined the effects of 
recalling  autobiographical  memories  and  verbally 
sharing them with others  on  LLE  of fingertip pulse 
waves. Moreover, reminiscence  therapy is expected 
to improve cognitive functions and relieve depression 
(Arean et al., 1993). Therefore, psychological indices 
were  assessed  before  and  after  the  experiment 
examining the psychological changes resulting from 
recalling autobiographical memory.  In this study, we 
conducted  preliminary  experiments  on  university 
students, not elderly people. 
2  METHODS 
The  experiment  was  conducted  from  October  to 
December  of  2018.  Participants  (N=18)  were 
recruited  using  snowball  sampling  at  A  university 
located in Tokyo. Two participants with missing data 
were excluded, and the data of 16 participants were 
analyzed.  The  mean  age  of  female  participants 
(N=10) was 21.10 (SD=0.99) years, and that of male 
participants (N=6) was 21.83 (SD=1.72) years. They 
participated in the experiment twice; (1) conducting 
an  autobiographical  memory  recall  task  (retrieval 
group),  and  (2)  conducting  a  vocalizing  Japanese 
syllabary  task  (control  group).  The  tasks  were 
performed in random order to  counterbalance order 
effects. The second experiment was conducted after 
an interval of one or more days. 
2.1  Equipment, Materials, 
Psychological Scales 
Fingertip pulse waves were measured as a biological 
index by  connecting a  cuff  sensor  to  a  Lyspect  3.5 
computer.  The  data  were  analyzed  using  a  laptop 
computer.  The  time-series  data  were  sampled  at  a 
frequency of 200 Hz for 180 sec. The time-delay was 
set at 10.0msec, and the embedding dimension (d) 
was set at 4, after Sano & Sawada (1985).